Measure of an angle is usually in degrees or radians. The measure of angle M is [tex]36^\circ[/tex]. Thus, [tex]m\angle M = 36^\circ[/tex]
How to find measure of missing third angle in a triangle?
It is a theorem in mathematics that sum of internal angles of a triangle equate to [tex]180^\circ[/tex].
Suppose that two angles are given as [tex]a^\circ[/tex] and [tex]b^\circ[/tex] and let there is one angle missing. Let its measure be [tex]x^\circ[/tex]
Then, by the aforesaid theorem, we get:
[tex]a^\circ + b^\circ + x^\circ = 180^\circ\\\\ \text{Subtracting a + b degrees from both sides} \\\\x^\circ = 180^\circ - (a^\circ + b^\circ)[/tex]
For the given case, we have:
[tex]m\angle S = 84^circ\\\\m\angle A = 60^\circ\\\\m\angle M = x^\circ \text{ (say)}[/tex]
Thus,
[tex]x^\circ = 180^\circ - (60+84)^\circ\\\\x^\circ = 36^\circ[/tex]
Thus,
The measure of angle M is [tex]36^\circ[/tex]. Thus, [tex]m\angle M = 36^\circ[/tex]
Learn more about triangle's angles here:
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